Answer and Step-by-step explanation:For this equation the answer is : [tex]n=3[/tex]Step 1 : Simplify both the sides of the equation :[tex]-2(7n-6)+n=-3-8n[/tex][tex](-2)(7n)+(-2)(-6)+n=-3+-8n[/tex] (Distribute)[tex]-14n+12+n=-3+-8n[/tex][tex](-14n+n)+(12)=-8n-3[/tex] (Combine the like terms)[tex]-13n+12=-8n-3[/tex][tex]-13n+12=-8n-3[/tex]Step 2 : Add "[tex]8n[/tex]" to both the sides :[tex]-13n+12+8n=-8n-3+8n[/tex][tex]-5n+12=-3[/tex]Step 3 : Subtract "[tex]12[/tex]" from both the sides :[tex]-5n+12-12=-3-12[/tex][tex]-5n=-15[/tex]Step 4 : Divide both the sides by "[tex]-5[/tex]"[tex]\frac{-5n}{-5} =\frac{-15}{-5}[/tex][tex]n=3[/tex]That's your final answer : [tex]n=3[/tex]